Factors of 1100

All factors of 1100

Here are all 18 factors of 1100, listed from smallest to largest.

Factor pairs of 1100

These 9 pairs of whole numbers each multiply to give 1100.

Prime factorization of 1100

Dividing 1100 by the smallest prime at each step gives its prime factorization:

The distinct prime factors of 1100 are 2, 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 1100

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Properties of 1100

What makes 1100 interesting

• 1100 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
• 1100 is an abundant number: its proper factors sum to 1504, which is 404 more than 1100 itself.
• 1100 has 3 distinct prime factors (2, 5, 11), which is why it has so many divisors.

How to find the factors of 1100 yourself

Divide 1100 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √1100 ≈ 33.17, because every factor above that pairs with one below it.

Reading both columns gives every factor: 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100. The factor calculator does this automatically for any number.